Subjects algebra

Inequality Solution C920E4

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Question: Which of the following ordered pairs represents a solution to the linear inequality $y > 2x - 3$?
1. **State the problem:** We need to determine which ordered pair $(x, y)$ satisfies the inequality $$y > 2x - 3$$. 2. **Recall the inequality:** The inequality means the $y$-value must be strictly greater than $2$ times the $x$-value minus $3$. 3. **Test each option:** - For A: $(3, 2)$ $$2 > 2(3) - 3$$ $$2 > 6 - 3$$ $$2 > 3$$ This is false. - For B: $(2, 5)$ $$5 > 2(2) - 3$$ $$5 > 4 - 3$$ $$5 > 1$$ This is true. - For C: $(4, 4)$ $$4 > 2(4) - 3$$ $$4 > 8 - 3$$ $$4 > 5$$ This is false. - For D: $(9, 12)$ $$12 > 2(9) - 3$$ $$12 > 18 - 3$$ $$12 > 15$$ This is false. 4. **Conclusion:** Only option B satisfies the inequality. **Final answer:** The ordered pair $(2, 5)$ is a solution to the inequality $y > 2x - 3$.